Steven618, I would advise that you have a sit down chat with your wife and work this out ASAP.
I have been married for more that 40 years, and when my doc suggested some years back that I think about providing some support to my growing breast since I ruled out removal of them, I took the opportunity to take some pics of my chest, down load pictures from this site, as well as some of the discussions, and had that sit down mtg prior to actually going forward with wearing a bra.
While she was not in favor of it at the time, she eventually agreed and now is accepting of this. She understands the reasons why I wear bras now, similar to why years ago, I had to start wearing medical support pantry hose for my poor veins.
Give your wife the benefit of the doubt, and chances are she will support you in your choice-above all, do not keep this from your wife, she is your life partner!